摘要
针对非平稳随机过程非线性组合的首次超越可靠度问题，提出了一种数值解法．该法将所考察时段离散化，以数值计算手段克服复杂的数学处理上的困难．所得公式可以方便地退化为平稳随机过程甚至随机变量非线性组合的问题，因而具有普遍的实用价值．
An efficient numerical method is proposed for calculation of the first crossing reliability of non stationary process nonlinear combination. In the proposed method, the nonlinear performance function is linearized by an iterative algorithm. The effect of the non stationary process is solved by the discrete time method, in which the precision can be controlled by choosing the steps of the discretization. The derived formulas can be conveniently degraded to calculate both the first excursion reliability with linear performance function of stationary processes and the time independent reliability.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1997年第5期1-6,共6页
Journal of Hohai University(Natural Sciences)
关键词
非平稳随机过程
非线性荷载
可靠度
结构荷载
non stationary processes
nonlinear performance function
reliability theory
first crossing problem
